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In this activity (on pages 41-47 of PDF), learners explore tesselating geometric patterns (repeated shapes, similar to the art of M.C. Escher).

In this tabletop activity (on pages 32-40), learners make Möbius strips -- 3D surfaces with only one side.

This lesson (on pages 46-55 of PDF) features two strategy board games -- one from Ghana and one from China. The first game, Achi, is a cross between checkers and tic-tac-toe.

The popular sudoku puzzles use numbers, but the game could played with any set of 9 different objects!

This activity (on page 3 of the PDF) has learners create models of butterfly wings.

In this classic memory game (on pages 37-45 of PDF), learners turn over tiles to reveal images on the back.

In this activity (on pages 49-54 of PDF), learners play with tangrams, a set of triangles, squares and a parallelogram that can combine into a larger square as well as all sorts of other shapes.

In this activity (on page 2), one person "programs" the other like a robot to move through a space, trying to get them to avoid obstacles and reach a goal.

This activity (on pages 21-32 of PDF) has learners act out several classic brain teasers.

Learners create an Incan counting device called a quipu (pronounced kee-poo).

Learners make their own simple slide rules out of paper and learn how they work.

In this activity about encryption, learners cut out a secret decoder badge from a handout and use it to encode messages to each other.

In this activity (on pages 55-66 of PDF), learners fold paper into origami shapes and then combine several identical shapes into a three-dimensional structure.

Learners will explore the scientific mystery behind a disappearing group of trees by examining data and attempting to explain the decline.